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Q. No.How does the elasticity of a material change when its temperature is increased?
1. increases
2. decreases
3. remains constant
4. may increase or decrease
1. increases
2. decreases
3. remains constant
4. may increase or decrease
Subtopic: Elasticity |
Level 3: 35%-60%
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Two blocks, one with a mass of \(2~\text{kg}\) and the other with a mass of \(1.14~\text{kg},\) are suspended by steel and brass wires, respectively, as shown in the figure. Given Young's moduli for steel and brass as \(2\times10^{11}~\text{N}/\text{m}^2\) and \(1\times10^{11}~\text{N}/\text{m}^2\) respectively, what is the change in the length for the steel wire?
| 1. | \(3.2 ~\mu \text{m}\) | 2. | \(1.6 ~\mu \text{m}\) |
| 3. | \(0.8 ~\mu \text{m}\) | 4. | \(4.8 ~\mu \text{m}\) |
Subtopic: Elasticity |
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Level 2: 60%+
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Which of the following expressions correctly relates Poisson’s ratio \(\sigma,\) bulk modulus \(B,\) and modulus of rigidity \(G\)?
1. \(\mathit{\sigma}{=}\dfrac{{3}{B}{-}{2}{G}}{{2}{G}{+}{6}{B}}\)
2. \(\mathit{\sigma}{=}\dfrac{{6}{B}{+}{2}{G}}{{3}{B}{-}{2}{G}}\)
3. \(\mathit{\sigma}{=}\dfrac{9BG}{{3}{B}{+}{G}}\)
4. \({B}{=}\dfrac{{3}\mathit{\sigma}{-}{3}{G}}{{6}\mathit{\sigma}{+}{2}{G}}\)
Subtopic: Elasticity |
60%
Level 2: 60%+
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A uniform rod of mass \(10~\text{kg}\) and length \(6~\text m\) is suspended vertically from the ceiling, as shown in the figure. The cross-sectional area of the rod is \(3~\text{mm}^2,\) and its Young’s modulus is \(2\times10^{11}~\text{N/m}^2.\) The extension in the length of the rod is: (take \(g=10~\text{m/s}^2\))
1. \(1~\text{mm}\)
2. \(0.5~\text{mm}\)
3. \(0.25~\text{mm}\)
4. \(1.2~\text{mm}\)
1. \(1~\text{mm}\)
2. \(0.5~\text{mm}\)
3. \(0.25~\text{mm}\)
4. \(1.2~\text{mm}\)
Subtopic: Elasticity |
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Q. No.
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